Twistor theory: an approach to the quantisation of fields and space-time

Twistor theory: an approach to the quantisation of fields and space-time Twistor theory offers a new approach, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. Twistors for flat space-time are the SUB,2) spinors of the twofold covering group 0B,4) of the conformal group. They describe the momentum and angular momentum structure of zero-rest-mass particles. Space-time points arise as secondary concepts corresponding to linear sets in twistor space. They, rather than the null cones, should become "smeared out" on passage to a quantised gravitational theory. Twistors are represented here in two-component spinor terms. Zero-rest-mass fields are described by holomorphic functions on twistor space, on which there is a natural canonical structure leading to a natural choice of canonical quantum operators. The generalisation to curved space can be accomplished in three ways

Autor (-toren): Penrose R., MacCallum M.A.H.Seiten: 75     Jahr: 1972

Tags: theory fields quantisation space-time penrose twistor maccallum approach
   

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